# Basic information

**Code:** SCI3076

**Extent:** 20-25 cr

**Language:** English

**Teacher in charge:** Lasse Leskelä

**Administrative contact: **Johanna Bovellán

**Target group:** All master's students with sufficient prerequisite knowledge.

**Application procedure:** Open for all students of Aalto University

**Quotas and restrictions:** No quotas.

**Prerequisites:** Bachelor-level minor in Mathematics or equivalent knowledge. Please check the course prerequisites before signing up.

# Content and structure of the minor

This minor is designed for students willing to develop their general mathematical thinking and problem solving skills, and interested in learning mathematical and statistical methods that can be applied in science, technology, arts, and business. The student selects 20-25 credits of MS-E**** courses. Other courses can also be included with the consent of the professor in charge. A nonexhaustive list of suitable courses is given below.

General mathematics | |||

Code | Name | ECTS | Period |

MS-E1000 | Crystal Flowers in Halls of Mirrors: Mathematics meets Art and Architecture | 5-15 | III-IV |

Algebra and discrete mathematics | |||

MS-E1050 | Graph theory | 5 | I (2018-2019) |

Number Theory | 5 | II (2018-2019) I (2019-2020) | |

MS-E1111 | Galois Theory | 5 | IV |

MS-E1200 | Lie groups and Lie algebras | 5 | II |

MS-E1687 | Advanced topics in cryptography | 5 | III-IV |

Analysis | |||

MS-E1280 | Measure and Integral | 5 | II |

MS-E1281 | Real Analysis | 5 | IV |

MS-E1461 | Hilbert spaces | 5 | I |

MS-E1462 | Banach spaces | 5 | II |

MS-E1531 | Differential Geometry | 5 | III |

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MS-E1142 | Computational algebraic geometry | 5 | I |

MS-E1651 | Numerical Matrix Computations | 5 | II |

MS-E1652 | Computational Methods for Differential Equations | 5 | I |

MS-E1653 | Finite Element Method | 5 | III-IV |

MS-E1654 | Computational Inverse Problems | 5 | IV |

Mechanics | |||

MS-E1742 | Computational Mechanics 1 | 5 | I |

MS-E1743 | Computational Mechanics 2 | 5 | II |

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MS-E2121 | Linear optimization | 5 | I-II |

MS-E2122 | Nonlinear optimization | 5 | I-II |

MS-E2123 | Integer optimization | 5 | III-IV |

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MS-E1600 | Probability Theory | 5 | III |

MS-E1602 | Large Random Systems | 5 | IV |

MS-E1603 | Random graphs and network statistics | 5 | I |

MS-E2112 | Multivariate Statistical Analysis | 5 | III-IV |

MS-E2115 | Experimental and statistical methods in biological sciences | 5 | I-II |